4. (Problems on Shell Theorems) Assume the following model of the proton. It consists of: 1) a solid spherical core having a radius 1/10 the radius of the proton; 2) a concentric hollow spherical shell with no charge; and 3) a concentric solid spherical shell which has an inner radius exactly 1/2 the radius of the proton, and an outer radius that

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4. (Problems on Shell Theorems) Assume the following model of the proton. It consists of: 1) a solid spherical core having a radius 1/10 the radius of the proton; 2) a concentric hollow spherical shell with no charge; and 3) a concentric solid spherical shell which has an inner radius exactly 1/2 the radius of the proton, and an outer radius that of the radius of the proton. (The hollow spherical shell is situated in between the solid spherical core and the shell.) Assume the charge of the core is exactly half of the total charge of the proton and that charge is distributed uniformly on both the core and the solid spherical shell. What must be the minimum speed of an electron, initially located just abouve the surface of te core, in order for it to reach the inner surface of the solid spherical shell?

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